3.1. Device Characteristics as a Function of Channel Length
The electrical characteristics of the fabricated conventional IGZO TFTs were measured at room temperature using an Agilent 4156C semiconductor parameter analyzer (Agilent Technologies, Santa Clara, CA, USA). Transfer characteristics (
ID–
VGS) were obtained by sweeping the gate–source voltage (
VGS) from −15 V to 20 V at a fixed drain–source voltage (
VDS) of 1 V. Output characteristics (
ID–
VDS) were measured by sweeping
VDS from 0 to 15 V at a fixed
VGS of 4 V.
Figure 2a shows the
ID–
VGS curves for devices with channel lengths of 5, 7.5, 10, and 15 μm. The threshold voltage (
Vth) and the field effect mobility (
μeff) were extracted using the linear extrapolation method in the linear regime, where
VGS −
Vth >
VDS. Specifically,
Vth was determined from the
VGS-axis intercept (
Vint) of a linear fit to the
ID–
VGS curve. It was then corrected as
Vth =
Vint −
VDS/2. This correction is used because the intercept corresponds to
Vth +
VDS/2 in the standard MOSFET linear regime expression. The extracted
Vth ranged from −0.19 to 0.23 V across
L = 5–15 μm, and
μeff waw around 9.0 cm
2/V∙s, respectively. These values are consistent with those reported for IGZO TFTs with hydrogen-doped S/D in the literature [
13,
14].
Figure 2b presents the
ID–
VDS curves for the same set of devices. A clear difference in current saturation behavior is observed as a function of channel length. The
L = 15 μm and
L = 10 μm devices exhibit well-defined current saturation, indicating weak CLM. In contrast, the
L = 7.5 μm device shows a moderate increase in the drain current with
VDS, and the
L = 5 μm device displays a severe current rise in the saturation regime. To quantitatively assess the CLM effect, we extracted the output resistance (
ro = (
dID/
dVDS)
−1) which is the inverse of the slope of the
ID–
VDS curve in the saturation regime (
VDS = 10–15 V). The average value of
ro for the
L = 5 μm device is 13.5 MΩ, and that for the
L = 15 μm device is 53.6 MΩ which is 4 times higher. This result demonstrates that short channel IGZO TFTs suffer from stronger CLM than their long channel counterparts. Specifically, in the saturation regime,
ID–
VDS curves are linearly fitted as
ID = (1/
ro) ×
VDS +
ID0, where
ID0 is the extrapolated current obtained from the
y-intercept of the above linear fit. The CLM is often quantified by the Early voltage which is defined as
VA =
ID0 ×
ro, which corresponds to the absolute value of extrapolated
x-intercept of the aforementioned linear fit. The Early voltage (
VA) for the
L = 5 μm device is approximately 56 V. Reproducibility of the transfer and output characteristics is provided in
Figure A1 and
Figure A2 in
Appendix A. Device-to-device statistics of
Vth,
ro, and
VA are summarized in
Section 3.2.
To investigate the effective channel length of the fabricated devices, we performed transmission line method (TLM) analysis [
16,
17,
18]. Using the drain current values measured at
VDS = 1 V for three different gate voltages (
VGS = 10, 15, and 20 V), we calculated the total source-to-drain resistance. Heare,
RT =
Rch +
Rs.
Rch is the channel resistance dependent on
VGS, whereas
Rs is the independent series resistance incorporating S/D and contact resistances. For each channel length, five devices were measured.
RT was calculated for each device. The symbols and error bars in
Figure 3 represent mean ± standard deviation (SD) (n = 5).
Figure 3 plots the
RT versus the nominal (designed) channel length for three
VGS conditions, where the extrapolated lines do not converge at the positive
y-axis. The nominal channel length was defined by the top gate pattern, and it was verified by an optical microscope after fabrication. In standard TLM analysis, the extrapolated lines for different gate voltages should intersect at a point on the positive
y-axis, and this
y-intercept represents
Rs. However, the fact that our intersection point does not lie on the positive
y-axis indicates that the nominal channel lengths do not accurately represent the effective channel lengths. As shown in
Figure 3, the three extrapolated lines converge at a point of (1.8 μm, 18.6 kΩ). According to conventional TLM interpretation, a non-zero
x-coordinate of the intersection indicates channel length reduction [
17]. We define Δ
L ≈ 1.8 μm as the difference between the nominal channel length (
L) and the effective channel length (
Leff).
As described in
Section 2, hydrogen is intentionally introduced as an n-type dopant during the SiN
x passivation layer deposition at 250 °C by PECVD. The dopants are activated during the subsequent post-annealing step at 250 °C for 1 h. During SiN
x deposition, hydrogen diffuses not only vertically into the IGZO S/D regions but also laterally within the 200 nm thick SiO
2 gate insulator as illustrated in
Figure 1a. Because the hydrogen diffusion coefficient in SiO
2 is substantially higher than that in IGZO, the gate insulator can be a dominant diffusion pathway for hydrogen in our devices. To assess the plausibility of this hypothesis, we compare the hydrogen diffusion coefficients in the literature. Nomura et al. reported a hydrogen diffusion coefficient of 2.6 × 10
−15 cm
2/s at 200 °C in IGZO [
19]. The diffusion coefficient at 250 °C can be estimated as 1.7 × 10
−14 cm
2/s using the Arrhenius equation and an activation energy (
Ea) of 0.89 eV. In contrast, Shang et al. reported a hydrogen diffusion coefficient of 2.4 × 10
−8 cm
2/s at 250 °C in SiO
2 [
20]. This value is more than six orders of magnitude larger than the estimated value in IGZO at 250 °C. Such a large contrast supports that lateral hydrogen transport within the SiO
2 gate insulator can occur much more readily than through the IGZO layer itself. Therefore, even though the lateral diffusion length cannot be uniquely determined with the literature values alone, it can depend on microstructure such as film thickness and layer stack. Nevertheless, the gate insulator provides a physically plausible and potentially dominant pathway for lateral hydrogen redistribution. In this scenario, hydrogen in IGZO may form a gradual concentration profile extending toward the channel from S/D edges. Such lateral redistribution would reduce the electrically active channel length (
Leff) relative to the nominal designed length (
L). Accordingly, we believe that an effective channel length reduction (Δ
L =
L −
Leff) produced by the net impact of hydrogen redistribution is broadly consistent with the extracted Δ
L (≈1.8 μm) from TLM analysis.
3.2. Source-Connected Bottom Gate Structure and Its Effects
As mentioned in
Section 3.1, lateral hydrogen diffusion toward the channel during in situ doping can reduce
Leff, which can enhance CLM in short channel devices. This severe CLM degrades the output characteristics and limits the scalability of IGZO TFTs with hydrogen-doped S/D. To suppress this CLM effect in short-channel devices while preserving the benefits of hydrogen doping for low contact resistance and self-alignment, we propose a source-connected bottom gate (SCBG) structure.
Figure 4 shows the cross-sectional schematic of the SCBG device. Unlike the conventional top gate structure discussed in
Section 2, the SCBG configuration incorporates an additional bottom gate electrode. The bottom gate and source electrodes are connected by a metal interconnection through two via holes, ensuring that both electrodes remain at the source potential during device operation. This architecture is designed to stabilize the channel potential near the drain depletion region by introducing a bottom gate tied to the source potential (
VS = 0 V). Consequently, the pinch-off point shift and the resulting CLM are expected to be suppressed in the proposed structure.
Figure 5 demonstrates the effectiveness of the SCBG structure in suppressing CLM.
Figure 5a shows the
ID–
VGS curves of fabricated SCBG devices with channel lengths of 5, 7.5, 10, and 15 μm, measured at
VDS = 1 V. All devices exhibit well-defined transfer characteristics with
Vth of approximately 0.66 V. The bottom gate in the SCBG device is tied to the source potential (
VBG =
VS = 0 V). Therefore, the slight positive shift in
Vth compared with the conventional structure (−0.19 V in
Section 3.1) is not attributed to an intentional bottom gate biasing effect. Instead, it is considered a secondary effect arising from the modified electrostatic boundary condition. More importantly, differences in the IGZO/SiO
2 bottom interface (buffer SiO
2 deposited at 200 °C versus bottom gate insulator deposited at 250 °C) may alter interfacial defect states. These changes in oxygen-vacancy-related and hydroxyl/hydrogen-related defects can shift
Vth [
21].
Figure 5b shows the
ID–
VDS curves measured at
VGS = 4 V, revealing a clear contrast with the conventional devices (
Figure 2b). In the saturation regime, the SCBG devices exhibit nearly flat saturation behavior. For the
L = 5 μm device, the output resistance (
ro) was extracted from a linear fit of the
ID–
VDS curve at
VDS = 10–15 V. We used the same procedure as for the conventional devices, yielding
ro = 475 MΩ. The Early voltage (
VA) of the SCBG structure is approximately 1.2 kV, which is approximately 20 times higher than that of the conventional structure. This increase in
VA indicates a substantial suppression of CLM in the SCBG structure. Reproducibility of the transfer and output characteristics is provided in
Figure A3 and
Figure A4 in
Appendix A. Key parameters (
Vth,
ro, and
VA for each
L) extracted from the measured characteristics are summarized in
Table 1. Values are reported as mean ± SD (n = 5).
The proposed SCBG structure exhibits an almost
VDS-independent drain current in the saturation regime. This behavior can be attributed to the fact that the bottom gate is electrically tied to the source potential (0 V). Consequently, an increase in
VDS is not expected to significantly perturb the potential distribution in the vicinity of the pinch-off point near the drain. As a result, the drain-bias-induced shift of the pinch-off point is significantly suppressed, which leads to a pronounced improvement in the current saturation characteristics. In addition to the high
VDS comparison, we examined the low
VDS saturation behavior under lower gate biases (
VGS = 1 V and 2 V), for which current saturation occurs at lower
VDS. The corresponding output characteristics confirm that the SCBG device maintains a markedly reduced output slope compared with the conventional device in the saturation regime (
Appendix B,
Figure A5). To support the suppressed pinch-off point movement with increasing
VDS in the SCBG structure, device simulations were performed. The corresponding results and discussion are presented in the following section.
3.3. Simulation Analysis of Pinch-Off Point Movement
To assess the effectiveness of the SCBG structure in suppressing CLM, two-dimensional (2-D) electrostatic simulations were performed using the Semiconductor Module of COMSOL Multiphysics. Material parameters for IGZO were set to typical values (
Eg = 3.05 eV, ε
r = 10). The simulation domain represents a 2-D cross section along the nominal channel length (5 μm) with the S/D length (1 + 1 μm) and thickness (50 nm), matching the geometry of the fabricated devices. The reduction in effective channel length was modeled using the complementary error function (erfc), which can mimic the lateral diffusion of hydrogen. The detailed doping profile in the IGZO channel (1 μm < x < 6 μm) was modeled as
Here, Nch (=1 × 1015 cm−3) is the background dopant concentration in the channel and NSD (=1 × 1019 cm−3) is the dopant concentration in the S/D. The nominal channel length is L (=5 μm), and LSD (=1 μm) is the length of the S/D outside the channel. Lchar (=0.28 μm) is a fitting parameter in the erfc-based profile that sets the spatial scale of the dopant concentration tail extending from the S/D edges into the channel. A detailed explanation of this point is provided later.
The primary objective of these simulations was to qualitatively investigate the impact of the gradual doping profile and the effect of the SCBG structure on the CLM. We did not attempt to quantitatively match the measured device characteristics. Therefore, we examined the electron concentration profiles in the IGZO layer rather than
ID–
VDS characteristics.
Figure 6 compares 2-D electron concentration maps in the IGZO layer.
Figure 6a shows a series of 2-D electron concentration maps of the conventional top gate structure at
VGS = 4 V and
VDS = 0, 2, 4, 6, 8, and 10 V.
Figure 6b shows the corresponding maps of the SCBG structure under the same bias conditions. In both cases, the electron concentration in the channel region near the drain begins to decrease noticeably once
VDS exceeds approximately 4 V, forming a drain depletion region. However, a critical difference is observed between the two structures. In the conventional device, the reduction in electron concentration occurs predominantly in the upper portion of the IGZO layer. In the SCBG device, the reduction is concentrated mainly in the lower portion of the IGZO layer. This implies that, for the conventional structure, the depletion-region expansion takes place near the top of the IGZO. The channel is primarily formed under top gate control. As
VDS increases, this promotes movement of the pinch-off point toward the source. In contrast, in the SCBG structure the depletion region expands mostly in the lower IGZO region, which is less directly associated with the top-gate-controlled channel. Consequently, the pinch-off point shift can be relatively smaller. This contrast indirectly indicates that the SCBG configuration suppresses the CLM effect.
To analyze the pinch-off point movement, we defined a horizontal cutline located 5 nm below the gate insulator interface, extending from the source through the channel to the drain. The electron concentration along this cutline was then extracted with
VDS varying from 0 to 10 V in 1 V steps at fixed
VGS = 4 V.
Figure 7a shows a series of the electron concentration on the cutline of the conventional structure, while
Figure 7b shows the corresponding series of the SCBG structure under the same bias conditions. At
VDS = 0 V, the electron concentration at the channel center is approximately 2 × 10
17 cm
−3. The effective channel length (
Leff) can be estimated by measuring the distance between two points near the S/D edges where the electron concentration begins to increase. However, because the concentration increases only gradually near the onset, the exact locations of these points are ambiguous. Therefore, we adopt an operational definition that is less sensitive to this ambiguity. We define the two edge points as those where the electron concentration at
VDS = 0 V is 10% higher than the central value (i.e., 2.2 × 10
17 cm
−3). We confirmed that using nearby substitutions (e.g., 5–15%) do not appreciably change the extracted
Leff. For both device structures, the extracted effective channel length is approximately fitted to 3.2 μm, which is consistent with the
Leff extracted from TLM analysis in
Section 3.1. The reason for setting
Lchar = 0.28 μm (in Equation (1)) is to calibrate the simulated
Leff to the value extracted from the TLM analysis. When
Lchar = 0.28 μm, the effective channel length could be obtained as 3.2 μm. We denote the effective channel length extracted at
VDS = 0 V using the above definition as
Leff0.
In
Figure 7a for the conventional structure, it is observed that a pronounced electron-depleted region forms near the drain and expands once
VDS exceeds ~4–5 V. As
VDS increases further, the electron concentration in this region drops sharply. In
Figure 7b for the SCBG structure, it is also observed that an electron-depleted region forms near the drain. However, as
VDS increases, the minimum electron concentration does not decrease to the same level as in the conventional structure, and the rate of reduction is markedly reduced. In addition, the expansion of the depletion region toward the source is substantially slowed.
To facilitate quantitative analysis of the pinch-off point shift, we define the pinch-off point operationally. Specifically, it is the position where the electron concentration drops to 1/20 of the channel center value at
VDS = 0 V (i.e., 2 × 10
16 cm
−3). This corresponds to a 95% depletion of electrons and avoids reliance on the conventional pinch-off definition. Among the two points that satisfy the defined criteria, the one located closer to the channel is selected.
Figure 8a shows the extracted positions of the pinch-off point (
xpo) as a function of
VDS ranging from 6 to 10 V for both the conventional and SCBG structures. To assess the variability of the simulation results, we varied a few simulation parameters. We scaled the S/D doping concentration by 1.5 and by 1/1.5. We also varied the gate insulator thickness by +10% and −10%. The resulting spread is shown as error bars in
Figure 8. In the case of conventional structure,
xpo moves progressively toward the source as
VDS increases, confirming the characteristic behavior of CLM. However, in the case of the SCBG structure,
xpo exhibits a markedly reduced shift, in contrast to the conventional case.
Figure 8b illustrates the channel length reduction (Δ
L), as a function of
VDS, where Δ
L was defined as the distance between the drain-side channel edge and
xpo. The slope of the linear regression of Δ
L corresponds to
d(Δ
L)/
dVDS. Linear regression analysis yielded
d(Δ
L)/
dVDS = 0.027 μm/V for the conventional structure. On the other hand, the SCBG structure showed a considerably smaller
d(Δ
L)/
dVDS of 0.012 μm/V. This corresponds to a ~55% reduction in
d(Δ
L)/
dVDS compared with the conventional structure.
A clear difference between the SCBG and conventional structures appears in the degree of pinch-off point shift. This considerable reduction in the pinch-off point shift demonstrates that the SCBG effectively improves current saturation against
VDS variations. The reduced Δ
L and
d(Δ
L)/
dVDS in the SCBG device can be interpreted as an electric field control effect. The source-tied bottom gate (
VBG =
VS = 0 V) redistributes the electric field near the pinch-off region. This weakens the lateral field component that drives pinch-off shift. Supporting 2-D electric field plots and a lateral field component comparison are provided in
Appendix C (
Figure A6 and
Figure A7). These simulation results support that the SCBG structure suppresses CLM in short-channel IGZO TFTs with hydrogen-doped S/D under the assumed lateral doping profile. To address scalability toward submicron operation, we additionally evaluated shorter channels (
L = 3.0 and 2.5 μm). For these cases, hydrogen-diffusion-induced effective channel lengths are estimated to be approximately 1.2 and 0.7 μm, respectively. We used the same pinch-off extraction framework as in
Figure 8 (
VDS = 6–10 V). The results confirm that the SCBG structure continues to suppress pinch-off shift compared with the conventional structure (
Appendix C,
Figure A8).